Fuzzy Modules

In this paper, we study the intuitionistic fuzzy representations of intuitionistic fuzzy groups. A fundamental theorem of intuitionistic fuzzy representations of quotient groups has been derived. It is shown that every intuitionistic fuzzy representation gives rise to an intuitionistic fuzzy representation on the factor group. Moreover, an intuitionistic fuzzy version of the famous Cayley’s theorem has also been derived.

Abstract: The theoretical aspects of the modeling have been discussed in part-1 of this paper. The part-II of the paper deals with the practical implementation of analog fuzzy logic based systems (FLS). The designing of a fuzzy logic based system has been automated by the development of a software tool, FACDEng, the Fuzzy Analog Controller Design Engineer. The designs proposed by FACDEng are based on easily available and inexpensive operational amplifiers and a few more passive components. The FACDEng does not need the FLS designer to be an expert in fuzzy logic or an analog circuit design expert. FACDEng also generates net lists of the designed modules. These net lists allow the designer to simulate the designs in OrCAD and verify the performance of designs in few minutes. The design time is considerably shortened, thus allowing the designer to focus on practical implementations and validation of the models. Further the tool has academic value as it can help instructor in classroom...